Model reduction of bilinear systems based on Laguerre series expansion

被引：32

作者：

Wang, Xiaolong ^{[1
]}

Jiang, Yaolin ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 03期

关键词：

ORDER REDUCTION; BIBO STABILITY; CONVERGENCE; H-2;

D O I：

10.1016/j.jfranklin.2012.01.009

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a model reduction method for bilinear systems based on the Laguerre series expansion of the kernels resulting from the Volterra representation theory. By employing a two-sided projection, the reduced order system preserves a desired number of Laguerre coefficients, thereby approximating the original system faithfully. Furthermore, the relationship between the proposed Laguerre-based methods and the moment matching methods is studied, which reveals that these two approaches are equivalent under some specific conditions. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1231 / 1246

页数：16

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